106755104400 has 360 divisors, whose sum is σ = 406278817920. Its totient is φ = 23881374720.

The previous prime is 106755104399. The next prime is 106755104429. The reversal of 106755104400 is 4401557601.

It is a super-2 number, since 2×106755104400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2744286 + ... + 2782914.

It is an arithmetic number, because the mean of its divisors is an integer number (1128552272).

Almost surely, 2^106755104400 is an apocalyptic number.

106755104400 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 106755104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203139408960).

106755104400 is an abundant number, since it is smaller than the sum of its proper divisors (299523713520).

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

106755104400 is a wasteful number, since it uses less digits than its factorization.

106755104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38711 (or 38693 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 106755104400 in words is "one hundred six billion, seven hundred fifty-five million, one hundred four thousand, four hundred".