106917455628 has 120 divisors (see below), whose sum is σ = 283432287600. Its totient is φ = 35139899520.

The previous prime is 106917455507. The next prime is 106917455629. The reversal of 106917455628 is 826554719601.

It is a happy number.

106917455628 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 1 + 7 + 4 + 5 + 5 + 628 = 666.

It is a super-2 number, since 2×106917455628² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (106917455629) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14544898 + ... + 14552246.

It is an arithmetic number, because the mean of its divisors is an integer number (2361935730).

Almost surely, 2^106917455628 is an apocalyptic number.

106917455628 is a gapful number since it is divisible by the number (18) 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 106917455628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141716143800).

106917455628 is an abundant number, since it is smaller than the sum of its proper divisors (176514831972).

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

106917455628 is a wasteful number, since it uses less digits than its factorization.

106917455628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7989 (or 7978 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 106917455628 in words is "one hundred six billion, nine hundred seventeen million, four hundred fifty-five thousand, six hundred twenty-eight".