106032872880 has 640 divisors, whose sum is σ = 421223040000. Its totient is φ = 24246190080.

The previous prime is 106032872863. The next prime is 106032872917. The reversal of 106032872880 is 88278230601.

106032872880 is a `hidden beast` number, since 10 + 603 + 2 + 8 + 7 + 28 + 8 + 0 = 666.

It is a super-2 number, since 2×106032872880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 157552224 + ... + 157552896.

It is an arithmetic number, because the mean of its divisors is an integer number (658161000).

Almost surely, 2^106032872880 is an apocalyptic number.

106032872880 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 106032872880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210611520000).

106032872880 is an abundant number, since it is smaller than the sum of its proper divisors (315190167120).

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

106032872880 is a wasteful number, since it uses less digits than its factorization.

106032872880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 106032872880 in words is "one hundred six billion, thirty-two million, eight hundred seventy-two thousand, eight hundred eighty".