106758912000 has 1152 divisors, whose sum is σ = 417338550720. Its totient is φ = 24064819200.

The previous prime is 106758911981. The next prime is 106758912019. The reversal of 106758912000 is 219857601.

It is an interprime number because it is at equal distance from previous prime (106758911981) and next prime (106758912019).

It is a super-2 number, since 2×106758912000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 106758912000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2885375982 + ... + 2885376018.

Almost surely, 2^106758912000 is an apocalyptic number.

106758912000 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 106758912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208669275360).

106758912000 is an abundant number, since it is smaller than the sum of its proper divisors (310579638720).

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

106758912000 is a wasteful number, since it uses less digits than its factorization.

106758912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 106758912000 in words is "one hundred six billion, seven hundred fifty-eight million, nine hundred twelve thousand".