106345105632 has 192 divisors, whose sum is σ = 321260385600. Its totient is φ = 34184263680.

The previous prime is 106345105627. The next prime is 106345105663. The reversal of 106345105632 is 236501543601.

106345105632 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 4 + 5 + 10 + 5 + 632 = 666.

It is a super-2 number, since 2×106345105632² (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 a congruent number.

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, 25580098 + ... + 25584254.

It is an arithmetic number, because the mean of its divisors is an integer number (1673231175).

Almost surely, 2^106345105632 is an apocalyptic number.

106345105632 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 106345105632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160630192800).

106345105632 is an abundant number, since it is smaller than the sum of its proper divisors (214915279968).

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

106345105632 is a wasteful number, since it uses less digits than its factorization.

106345105632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 106345105632 in words is "one hundred six billion, three hundred forty-five million, one hundred five thousand, six hundred thirty-two".