106162062300 has 324 divisors, whose sum is σ = 389064421200. Its totient is φ = 24141680640.

The previous prime is 106162062289. The next prime is 106162062317. The reversal of 106162062300 is 3260261601.

106162062300 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 620 + 6 + 2 + 30 + 0 = 666.

It is a super-2 number, since 2×106162062300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8769852 + ... + 8781948.

Almost surely, 2^106162062300 is an apocalyptic number.

106162062300 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 106162062300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194532210600).

106162062300 is an abundant number, since it is smaller than the sum of its proper divisors (282902358900).

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

106162062300 is a wasteful number, since it uses less digits than its factorization.

106162062300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12330 (or 12313 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 106162062300 in words is "one hundred six billion, one hundred sixty-two million, sixty-two thousand, three hundred".