106152156100 has 81 divisors (see below), whose sum is σ = 238247214093. Its totient is φ = 41052060000.

The previous prime is 106152156029. The next prime is 106152156107. The reversal of 106152156100 is 1651251601.

It is a happy number.

The square root of 106152156100 is 325810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 38214776196 + 67937379904 = 195486^2 + 260648^2 .

It is a super-2 number, since 2×106152156100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106152156107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 101000575 + ... + 101001625.

Almost surely, 2^106152156100 is an apocalyptic number.

106152156100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106152156100 is the 325810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106152156100

106152156100 is an abundant number, since it is smaller than the sum of its proper divisors (132095057993).

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

106152156100 is an equidigital number, since it uses as much as digits as its factorization.

106152156100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 106152156100 in words is "one hundred six billion, one hundred fifty-two million, one hundred fifty-six thousand, one hundred".