106837203200 has 648 divisors, whose sum is σ = 332840446848. Its totient is φ = 33239531520.

The previous prime is 106837203173. The next prime is 106837203251. The reversal of 106837203200 is 2302738601.

It is a happy number.

It is a super-2 number, since 2×106837203200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 779833532 + ... + 779833668.

Almost surely, 2^106837203200 is an apocalyptic number.

106837203200 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 106837203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166420223424).

106837203200 is an abundant number, since it is smaller than the sum of its proper divisors (226003243648).

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

106837203200 is a wasteful number, since it uses less digits than its factorization.

106837203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 106837203200 in words is "one hundred six billion, eight hundred thirty-seven million, two hundred three thousand, two hundred".