106719740678400 has 432 divisors, whose sum is σ = 361128773404224. Its totient is φ = 27743756451840.

The previous prime is 106719740678303. The next prime is 106719740678423. The reversal of 106719740678400 is 4876047917601.

It is a super-2 number, since 2×106719740678400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159429207 + ... + 160097193.

It is an arithmetic number, because the mean of its divisors is an integer number (835946234732).

Almost surely, 2^{106719740678400} is an apocalyptic number.

106719740678400 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 106719740678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180564386702112).

106719740678400 is an abundant number, since it is smaller than the sum of its proper divisors (254409032725824).

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

106719740678400 is a wasteful number, since it uses less digits than its factorization.

106719740678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668226 (or 668207 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 60.

The spelling of 106719740678400 in words is "one hundred six trillion, seven hundred nineteen billion, seven hundred forty million, six hundred seventy-eight thousand, four hundred".