100400688 has 40 divisors (see below), whose sum is σ = 288188400. Its totient is φ = 33466752.

The previous prime is 100400687. The next prime is 100400737. The reversal of 100400688 is 886004001.

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

It is not an unprimeable number, because it can be changed into a prime (100400687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115773 + ... + 116636.

It is an arithmetic number, because the mean of its divisors is an integer number (7204710).

Almost surely, 2^100400688 is an apocalyptic number.

100400688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100400688 is an abundant number, since it is smaller than the sum of its proper divisors (187787712).

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

100400688 is a wasteful number, since it uses less digits than its factorization.

100400688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232426 (or 232414 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 100400688 is about 10020.0143712472. The cubic root of 100400688 is about 464.7780001694.

Adding to 100400688 its reverse (886004001), we get a palindrome (986404689).

The spelling of 100400688 in words is "one hundred million, four hundred thousand, six hundred eighty-eight".