106736253120000 has 3600 divisors, whose sum is σ = 470451977115120. Its totient is φ = 24078974976000.

The previous prime is 106736253119981. The next prime is 106736253120001. The reversal of 106736253120000 is 21352637601.

106736253120000 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 3 + 625 + 3 + 1 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×106736253120000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106736253120001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 415316159872 + ... + 415316160128.

Almost surely, 2^{106736253120000} is an apocalyptic number.

106736253120000 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 106736253120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235225988557560).

106736253120000 is an abundant number, since it is smaller than the sum of its proper divisors (363715723995120).

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

106736253120000 is an frugal number, since it uses more digits than its factorization.

106736253120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 106736253120000 in words is "one hundred six trillion, seven hundred thirty-six billion, two hundred fifty-three million, one hundred twenty thousand".