106994714400 has 1080 divisors, whose sum is σ = 468965984256. Its totient is φ = 23645260800.

The previous prime is 106994714389. The next prime is 106994714413. The reversal of 106994714400 is 4417499601.

106994714400 is a `hidden beast` number, since 106 + 99 + 47 + 14 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×106994714400² (a number of 23 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 179 ways as a sum of consecutive naturals, for example, 98430657 + ... + 98431743.

Almost surely, 2^106994714400 is an apocalyptic number.

106994714400 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 106994714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234482992128).

106994714400 is an abundant number, since it is smaller than the sum of its proper divisors (361971269856).

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

106994714400 is a wasteful number, since it uses less digits than its factorization.

106994714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 106994714400 in words is "one hundred six billion, nine hundred ninety-four million, seven hundred fourteen thousand, four hundred".