100033042023400 has 72 divisors (see below), whose sum is σ = 245461965413670. Its totient is φ = 37907258002560.

The previous prime is 100033042023361. The next prime is 100033042023443. The reversal of 100033042023400 is 4320240330001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 96677308981444 + 3355733041956 = 9832462^2 + 1831866^2 .

It is a super-2 number, since 2×100033042023400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 692677399 + ... + 692821798.

Almost surely, 2^{100033042023400} is an apocalyptic number.

100033042023400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100033042023400 is an abundant number, since it is smaller than the sum of its proper divisors (145428923390270).

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

100033042023400 is a wasteful number, since it uses less digits than its factorization.

100033042023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385499251 (or 1385499223 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 100033042023400 its reverse (4320240330001), we get a palindrome (104353282353401).

The spelling of 100033042023400 in words is "one hundred trillion, thirty-three billion, forty-two million, twenty-three thousand, four hundred".