106101025152 has 64 divisors (see below), whose sum is σ = 282434817600. Its totient is φ = 35291216384.

The previous prime is 106101025123. The next prime is 106101025153. The reversal of 106101025152 is 251520101601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106101025152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106101025153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116502 + ... + 475157.

It is an arithmetic number, because the mean of its divisors is an integer number (4413044025).

Almost surely, 2^106101025152 is an apocalyptic number.

106101025152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106101025152 is an abundant number, since it is smaller than the sum of its proper divisors (176333792448).

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

106101025152 is an equidigital number, since it uses as much as digits as its factorization.

106101025152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592143 (or 592131 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 106101025152 its reverse (251520101601), we get a palindrome (357621126753).

The spelling of 106101025152 in words is "one hundred six billion, one hundred one million, twenty-five thousand, one hundred fifty-two".