106153132365654 has 256 divisors, whose sum is σ = 251962555392000. Its totient is φ = 29454884526080.

The previous prime is 106153132365653. The next prime is 106153132365661. The reversal of 106153132365654 is 456563231351601.

It is a super-2 number, since 2×106153132365654² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 106153132365597 and 106153132365606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106153132365653) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3821330737 + ... + 3821358515.

It is an arithmetic number, because the mean of its divisors is an integer number (984228732000).

Almost surely, 2^{106153132365654} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106153132365654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125981277696000).

106153132365654 is an abundant number, since it is smaller than the sum of its proper divisors (145809423026346).

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

106153132365654 is a wasteful number, since it uses less digits than its factorization.

106153132365654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28403.

The product of its (nonzero) digits is 5832000, while the sum is 51.

The spelling of 106153132365654 in words is "one hundred six trillion, one hundred fifty-three billion, one hundred thirty-two million, three hundred sixty-five thousand, six hundred fifty-four".