106275823038000 has 4480 divisors, whose sum is σ = 496877226393600. Its totient is φ = 21339521280000.

The previous prime is 106275823037987. The next prime is 106275823038023. The reversal of 106275823038000 is 830328572601.

106275823038000 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 7 + 582 + 30 + 38 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×106275823038000² (a number of 29 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 895 ways as a sum of consecutive naturals, for example, 534049361901 + ... + 534049362099.

Almost surely, 2^{106275823038000} is an apocalyptic number.

106275823038000 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 106275823038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248438613196800).

106275823038000 is an abundant number, since it is smaller than the sum of its proper divisors (390601403355600).

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

106275823038000 is a wasteful number, since it uses less digits than its factorization.

106275823038000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 106275823038000 in words is "one hundred six trillion, two hundred seventy-five billion, eight hundred twenty-three million, thirty-eight thousand".