106500723663360 has 640 divisors, whose sum is σ = 386994638257920. Its totient is φ = 24769047822336.

The previous prime is 106500723663349. The next prime is 106500723663403. The reversal of 106500723663360 is 63366327005601.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×106500723663360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 707490822 + ... + 707641338.

It is an arithmetic number, because the mean of its divisors is an integer number (604679122278).

Almost surely, 2^{106500723663360} is an apocalyptic number.

106500723663360 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 106500723663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193497319128960).

106500723663360 is an abundant number, since it is smaller than the sum of its proper divisors (280493914594560).

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

106500723663360 is a wasteful number, since it uses less digits than its factorization.

106500723663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150948 (or 150932 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 48.

The spelling of 106500723663360 in words is "one hundred six trillion, five hundred billion, seven hundred twenty-three million, six hundred sixty-three thousand, three hundred sixty".