106118453151360 has 4096 divisors, whose sum is σ = 455113790208000. Its totient is φ = 23125328658432.

The previous prime is 106118453151107. The next prime is 106118453151401. The reversal of 106118453151360 is 63151354811601.

106118453151360 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 1 + 8 + 4 + 531 + 51 + 3 + 60 = 666.

It is a super-2 number, since 2×106118453151360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 774587249212 + ... + 774587249348.

Almost surely, 2^{106118453151360} is an apocalyptic number.

106118453151360 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 106118453151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227556895104000).

106118453151360 is an abundant number, since it is smaller than the sum of its proper divisors (348995337056640).

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

106118453151360 is a wasteful number, since it uses less digits than its factorization.

106118453151360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 106118453151360 in words is "one hundred six trillion, one hundred eighteen billion, four hundred fifty-three million, one hundred fifty-one thousand, three hundred sixty".