106140655152 has 160 divisors (see below), whose sum is σ = 348677683200. Its totient is φ = 30283103232.

The previous prime is 106140655123. The next prime is 106140655177. The reversal of 106140655152 is 251556041601.

106140655152 is a `hidden beast` number, since 1 + 0 + 61 + 40 + 6 + 551 + 5 + 2 = 666.

It is a super-2 number, since 2×106140655152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2149848 + ... + 2198664.

It is an arithmetic number, because the mean of its divisors is an integer number (2179235520).

Almost surely, 2^106140655152 is an apocalyptic number.

106140655152 is a gapful number since it is divisible by the number (12) 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 106140655152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174338841600).

106140655152 is an abundant number, since it is smaller than the sum of its proper divisors (242537028048).

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

106140655152 is a wasteful number, since it uses less digits than its factorization.

106140655152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49560 (or 49548 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 106140655152 its reverse (251556041601), we get a palindrome (357696696753).

The spelling of 106140655152 in words is "one hundred six billion, one hundred forty million, six hundred fifty-five thousand, one hundred fifty-two".