106165145557400 has 768 divisors, whose sum is σ = 281793924034560. Its totient is φ = 36979937280000.

The previous prime is 106165145557363. The next prime is 106165145557411. The reversal of 106165145557400 is 4755541561601.

It is a super-2 number, since 2×106165145557400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 144836487434 + ... + 144836488166.

It is an arithmetic number, because the mean of its divisors is an integer number (366919171920).

Almost surely, 2^{106165145557400} is an apocalyptic number.

106165145557400 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 106165145557400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140896962017280).

106165145557400 is an abundant number, since it is smaller than the sum of its proper divisors (175628778477160).

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

106165145557400 is a wasteful number, since it uses less digits than its factorization.

106165145557400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 50.

The spelling of 106165145557400 in words is "one hundred six trillion, one hundred sixty-five billion, one hundred forty-five million, five hundred fifty-seven thousand, four hundred".