106249060592640 has 1584 divisors, whose sum is σ = 447647343316992. Its totient is φ = 24092519399424.

The previous prime is 106249060592627. The next prime is 106249060592771. The reversal of 106249060592640 is 46295060942601.

106249060592640 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 4 + 9 + 0 + 6 + 0 + 592 + 6 + 40 = 666.

It is a super-2 number, since 2×106249060592640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7742400819 + ... + 7742414541.

Almost surely, 2^{106249060592640} is an apocalyptic number.

106249060592640 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 106249060592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223823671658496).

106249060592640 is an abundant number, since it is smaller than the sum of its proper divisors (341398282724352).

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

106249060592640 is a wasteful number, since it uses less digits than its factorization.

106249060592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13904 (or 13867 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 106249060592640 in words is "one hundred six trillion, two hundred forty-nine billion, sixty million, five hundred ninety-two thousand, six hundred forty".