101166758352 has 240 divisors, whose sum is σ = 320187562240. Its totient is φ = 30560302080.

The previous prime is 101166758347. The next prime is 101166758377. The reversal of 101166758352 is 253857661101.

101166758352 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 6 + 67 + 583 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101166758298 and 101166758307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17612793 + ... + 17618535.

Almost surely, 2^101166758352 is an apocalyptic number.

101166758352 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 101166758352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160093781120).

101166758352 is an abundant number, since it is smaller than the sum of its proper divisors (219020803888).

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

101166758352 is a wasteful number, since it uses less digits than its factorization.

101166758352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6119 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 101166758352 in words is "one hundred one billion, one hundred sixty-six million, seven hundred fifty-eight thousand, three hundred fifty-two".