106001170800 has 360 divisors, whose sum is σ = 397023696000. Its totient is φ = 24104424960.

The previous prime is 106001170763. The next prime is 106001170853. The reversal of 106001170800 is 8071100601.

It is a super-2 number, since 2×106001170800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 11696671 + ... + 11705729.

It is an arithmetic number, because the mean of its divisors is an integer number (1102843600).

Almost surely, 2^106001170800 is an apocalyptic number.

106001170800 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 106001170800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198511848000).

106001170800 is an abundant number, since it is smaller than the sum of its proper divisors (291022525200).

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

106001170800 is a wasteful number, since it uses less digits than its factorization.

106001170800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9293 (or 9275 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The spelling of 106001170800 in words is "one hundred six billion, one million, one hundred seventy thousand, eight hundred".