106251451441251 has 16 divisors (see below), whose sum is σ = 141834931326720. Its totient is φ = 70751137897440.

The previous prime is 106251451441243. The next prime is 106251451441273. The reversal of 106251451441251 is 152144154152601.

It is not a de Polignac number, because 106251451441251 - 2³ = 106251451441243 is a prime.

It is a super-2 number, since 2×106251451441251² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106251451441651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465042021 + ... + 465270441.

It is an arithmetic number, because the mean of its divisors is an integer number (8864683207920).

Almost surely, 2^{106251451441251} is an apocalyptic number.

106251451441251 is a deficient number, since it is larger than the sum of its proper divisors (35583479885469).

106251451441251 is a wasteful number, since it uses less digits than its factorization.

106251451441251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409786.

The product of its (nonzero) digits is 192000, while the sum is 42.

The spelling of 106251451441251 in words is "one hundred six trillion, two hundred fifty-one billion, four hundred fifty-one million, four hundred forty-one thousand, two hundred fifty-one".