106371656253720 has 2560 divisors, whose sum is σ = 472174230528000. Its totient is φ = 21069103104000.

The previous prime is 106371656253679. The next prime is 106371656253727. The reversal of 106371656253720 is 27352656173601.

106371656253720 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 7 + 1 + 6 + 5 + 625 + 3 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×106371656253720² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106371656253727) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 7913962200 + ... + 7913975640.

It is an arithmetic number, because the mean of its divisors is an integer number (184443058800).

Almost surely, 2^{106371656253720} is an apocalyptic number.

106371656253720 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 106371656253720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236087115264000).

106371656253720 is an abundant number, since it is smaller than the sum of its proper divisors (365802574274280).

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

106371656253720 is a wasteful number, since it uses less digits than its factorization.

106371656253720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13567 (or 13554 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 106371656253720 in words is "one hundred six trillion, three hundred seventy-one billion, six hundred fifty-six million, two hundred fifty-three thousand, seven hundred twenty".