100923222400 has 768 divisors, whose sum is σ = 342103104000. Its totient is φ = 28991692800.

The previous prime is 100923222371. The next prime is 100923222473. The reversal of 100923222400 is 4222329001.

It is a super-4 number, since 4×100923222400⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156956479 + ... + 156957121.

It is an arithmetic number, because the mean of its divisors is an integer number (445446750).

Almost surely, 2^100923222400 is an apocalyptic number.

100923222400 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 100923222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171051552000).

100923222400 is an abundant number, since it is smaller than the sum of its proper divisors (241179881600).

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

100923222400 is a wasteful number, since it uses less digits than its factorization.

100923222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

It can be divided in two parts, 100923 and 222400, that added together give a palindrome (323323).

The spelling of 100923222400 in words is "one hundred billion, nine hundred twenty-three million, two hundred twenty-two thousand, four hundred".