106136694252 has 192 divisors, whose sum is σ = 294413616000. Its totient is φ = 32950001664.

The previous prime is 106136694229. The next prime is 106136694271. The reversal of 106136694252 is 252496631601.

106136694252 is a `hidden beast` number, since 1 + 0 + 613 + 6 + 6 + 9 + 4 + 25 + 2 = 666.

It is a super-2 number, since 2×106136694252² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106136694198 and 106136694207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128029374 + ... + 128030202.

It is an arithmetic number, because the mean of its divisors is an integer number (1533404250).

Almost surely, 2^106136694252 is an apocalyptic number.

106136694252 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 106136694252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147206808000).

106136694252 is an abundant number, since it is smaller than the sum of its proper divisors (188276921748).

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

106136694252 is a wasteful number, since it uses less digits than its factorization.

106136694252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 106136694252 in words is "one hundred six billion, one hundred thirty-six million, six hundred ninety-four thousand, two hundred fifty-two".