106251936 has 48 divisors (see below), whose sum is σ = 318757824. Its totient is φ = 30357504.

The previous prime is 106251923. The next prime is 106251949. The reversal of 106251936 is 639152601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106251923) and next prime (106251949).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106251936² = 22578947807496192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106251897 and 106251906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78385 + ... + 79728.

It is an arithmetic number, because the mean of its divisors is an integer number (6640788).

Almost surely, 2^106251936 is an apocalyptic number.

106251936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106251936 is an abundant number, since it is smaller than the sum of its proper divisors (212505888).

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

106251936 is a wasteful number, since it uses less digits than its factorization.

106251936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158133 (or 158125 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 106251936 is about 10307.8579734104. The cubic root of 106251936 is about 473.6369952991.

It can be divided in two parts, 10625 and 1936, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 106251936 in words is "one hundred six million, two hundred fifty-one thousand, nine hundred thirty-six".