106152807720 has 256 divisors, whose sum is σ = 346604544000. Its totient is φ = 25909632000.

The previous prime is 106152807713. The next prime is 106152807727. The reversal of 106152807720 is 27708251601.

It is a Cunningham number, because it is equal to 325811²-1.

It is an interprime number because it is at equal distance from previous prime (106152807713) and next prime (106152807727).

It is a super-2 number, since 2×106152807720² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106152807727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74283966 + ... + 74285394.

It is an arithmetic number, because the mean of its divisors is an integer number (1353924000).

Almost surely, 2^106152807720 is an apocalyptic number.

106152807720 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 106152807720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173302272000).

106152807720 is an abundant number, since it is smaller than the sum of its proper divisors (240451736280).

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

106152807720 is a wasteful number, since it uses less digits than its factorization.

106152807720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 106152807720 in words is "one hundred six billion, one hundred fifty-two million, eight hundred seven thousand, seven hundred twenty".