106051456 has 32 divisors (see below), whose sum is σ = 241458480. Its totient is φ = 45450240.

The previous prime is 106051453. The next prime is 106051487. The reversal of 106051456 is 654150601.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106051456² = 22493822639439872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106051453) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 58285 + ... + 60076.

Almost surely, 2^106051456 is an apocalyptic number.

106051456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106051456 is an abundant number, since it is smaller than the sum of its proper divisors (135407024).

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

106051456 is an equidigital number, since it uses as much as digits as its factorization.

106051456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118382 (or 118370 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 106051456 is about 10298.1287620616. The cubic root of 106051456 is about 473.3389159341.

The spelling of 106051456 in words is "one hundred six million, fifty-one thousand, four hundred fifty-six".