100419480 has 256 divisors, whose sum is σ = 393984000. Its totient is φ = 22270464.

The previous prime is 100419469. The next prime is 100419497. The reversal of 100419480 is 84914001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279541 + ... + 279899.

It is an arithmetic number, because the mean of its divisors is an integer number (1539000).

Almost surely, 2^100419480 is an apocalyptic number.

100419480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100419480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196992000).

100419480 is an abundant number, since it is smaller than the sum of its proper divisors (293564520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100419480 is a wasteful number, since it uses less digits than its factorization.

100419480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 100419480 is about 10020.9520505788. The cubic root of 100419480 is about 464.8069958648.

The spelling of 100419480 in words is "one hundred million, four hundred nineteen thousand, four hundred eighty".