106651160000 has 560 divisors, whose sum is σ = 340657354752. Its totient is φ = 32140800000.

The previous prime is 106651159987. The next prime is 106651160009. The reversal of 106651160000 is 61156601.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×106651160000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106651160009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95479442 + ... + 95480558.

Almost surely, 2^106651160000 is an apocalyptic number.

106651160000 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 106651160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170328677376).

106651160000 is an abundant number, since it is smaller than the sum of its proper divisors (234006194752).

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

106651160000 is a wasteful number, since it uses less digits than its factorization.

106651160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 106651160000 in words is "one hundred six billion, six hundred fifty-one million, one hundred sixty thousand".