106377734400 has 864 divisors, whose sum is σ = 417533276160. Its totient is φ = 23348183040.

The previous prime is 106377734387. The next prime is 106377734459. The reversal of 106377734400 is 4437773601.

It is a super-2 number, since 2×106377734400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 456556684 + ... + 456556916.

Almost surely, 2^106377734400 is an apocalyptic number.

106377734400 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 106377734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208766638080).

106377734400 is an abundant number, since it is smaller than the sum of its proper divisors (311155541760).

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

106377734400 is a wasteful number, since it uses less digits than its factorization.

106377734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The spelling of 106377734400 in words is "one hundred six billion, three hundred seventy-seven million, seven hundred thirty-four thousand, four hundred".