101042400 has 72 divisors (see below), whose sum is σ = 328900824. Its totient is φ = 26944000.

The previous prime is 101042393. The next prime is 101042411. The reversal of 101042400 is 4240101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18651 + ... + 23450.

It is an arithmetic number, because the mean of its divisors is an integer number (4568067).

Almost surely, 2^101042400 is an apocalyptic number.

101042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101042400 is an abundant number, since it is smaller than the sum of its proper divisors (227858424).

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

101042400 is a wasteful number, since it uses less digits than its factorization.

101042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42124 (or 42111 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 101042400 is about 10051.9848786197. The cubic root of 101042400 is about 465.7661090571.

Adding to 101042400 its reverse (4240101), we get a palindrome (105282501).

The spelling of 101042400 in words is "one hundred one million, forty-two thousand, four hundred".