106137697446144 has 432 divisors, whose sum is σ = 376837699510272. Its totient is φ = 27977771630592.

The previous prime is 106137697446133. The next prime is 106137697446167. The reversal of 106137697446144 is 441644796731601.

106137697446144 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 3 + 7 + 6 + 9 + 7 + 4 + 4 + 614 + 4 = 666.

It is a super-2 number, since 2×106137697446144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405149569 + ... + 405411455.

Almost surely, 2^{106137697446144} is an apocalyptic number.

106137697446144 is a gapful number since it is divisible by the number (14) 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 106137697446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188418849755136).

106137697446144 is an abundant number, since it is smaller than the sum of its proper divisors (270700002064128).

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

106137697446144 is a wasteful number, since it uses less digits than its factorization.

106137697446144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263862 (or 263845 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 106137697446144 in words is "one hundred six trillion, one hundred thirty-seven billion, six hundred ninety-seven million, four hundred forty-six thousand, one hundred forty-four".