101252884 has 18 divisors (see below), whose sum is σ = 188230910. Its totient is φ = 47647872.

The previous prime is 101252873. The next prime is 101252939. The reversal of 101252884 is 488252101.

101252884 = 442² + 443² + ... + 730².

It can be written as a sum of positive squares in 3 ways, for example, as 29376400 + 71876484 = 5420^2 + 8478^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42639 + ... + 44950.

Almost surely, 2^101252884 is an apocalyptic number.

It is an amenable number.

101252884 is a deficient number, since it is larger than the sum of its proper divisors (86978026).

101252884 is a wasteful number, since it uses less digits than its factorization.

101252884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87627 (or 87608 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 101252884 is about 10062.4492048407. The cubic root of 101252884 is about 466.0893011639.

The spelling of 101252884 in words is "one hundred one million, two hundred fifty-two thousand, eight hundred eighty-four".