100610400 has 288 divisors, whose sum is σ = 370476288. Its totient is φ = 23500800.

The previous prime is 100610383. The next prime is 100610401. The reversal of 100610400 is 4016001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100610401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 976749 + ... + 976851.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^100610400 is an apocalyptic number.

100610400 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 100610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144).

100610400 is an abundant number, since it is smaller than the sum of its proper divisors (269865888).

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

100610400 is a wasteful number, since it uses less digits than its factorization.

100610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100610400 is about 10030.4735680824. The cubic root of 100610400 is about 465.1013769024.

Adding to 100610400 its reverse (4016001), we get a palindrome (104626401).

The spelling of 100610400 in words is "one hundred million, six hundred ten thousand, four hundred".