106205645403000 has 1536 divisors, whose sum is σ = 425907324460800. Its totient is φ = 23532208128000.

The previous prime is 106205645402993. The next prime is 106205645403043. The reversal of 106205645403000 is 304546502601.

106205645403000 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 0 + 5 + 645 + 4 + 0 + 3 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×106205645403000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 71326826256 + ... + 71326827744.

Almost surely, 2^{106205645403000} is an apocalyptic number.

106205645403000 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 106205645403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212953662230400).

106205645403000 is an abundant number, since it is smaller than the sum of its proper divisors (319701679057800).

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

106205645403000 is a wasteful number, since it uses less digits than its factorization.

106205645403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 106205645403000 in words is "one hundred six trillion, two hundred five billion, six hundred forty-five million, four hundred three thousand".