101345541 has 32 divisors (see below), whose sum is σ = 153378816. Its totient is φ = 58968000.

The previous prime is 101345533. The next prime is 101345549. The reversal of 101345541 is 145543101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101345533) and next prime (101345549).

It is not a de Polignac number, because 101345541 - 2³ = 101345533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101345549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160296 + ... + 160926.

It is an arithmetic number, because the mean of its divisors is an integer number (4793088).

Almost surely, 2^101345541 is an apocalyptic number.

101345541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101345541 is a deficient number, since it is larger than the sum of its proper divisors (52033275).

101345541 is a wasteful number, since it uses less digits than its factorization.

101345541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 101345541 is about 10067.0522497899. The cubic root of 101345541 is about 466.2314313367.

Adding to 101345541 its reverse (145543101), we get a palindrome (246888642).

The spelling of 101345541 in words is "one hundred one million, three hundred forty-five thousand, five hundred forty-one".