106132259170980 has 1920 divisors, whose sum is σ = 421221659443200. Its totient is φ = 21826273996800.

The previous prime is 106132259170963. The next prime is 106132259170991. The reversal of 106132259170980 is 89071952231601.

It is a happy number.

106132259170980 is a `hidden beast` number, since 1 + 0 + 6 + 132 + 259 + 170 + 98 + 0 = 666.

It is a super-2 number, since 2×106132259170980² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 103949322870 + ... + 103949323890.

It is an arithmetic number, because the mean of its divisors is an integer number (219386280960).

Almost surely, 2^{106132259170980} is an apocalyptic number.

106132259170980 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 106132259170980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210610829721600).

106132259170980 is an abundant number, since it is smaller than the sum of its proper divisors (315089400272220).

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

106132259170980 is a wasteful number, since it uses less digits than its factorization.

106132259170980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 106132259170980 in words is "one hundred six trillion, one hundred thirty-two billion, two hundred fifty-nine million, one hundred seventy thousand, nine hundred eighty".