10354980 has 24 divisors (see below), whose sum is σ = 28994112. Its totient is φ = 2761312.

The previous prime is 10354973. The next prime is 10354987. The reversal of 10354980 is 8945301.

It is an interprime number because it is at equal distance from previous prime (10354973) and next prime (10354987).

It is a super-3 number, since 3×10354980³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10354987) 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, 86232 + ... + 86351.

It is an arithmetic number, because the mean of its divisors is an integer number (1208088).

Almost surely, 2^10354980 is an apocalyptic number.

10354980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10354980 is an abundant number, since it is smaller than the sum of its proper divisors (18639132).

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

10354980 is a wasteful number, since it uses less digits than its factorization.

10354980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172595 (or 172593 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 10354980 is about 3217.9154743405. The cubic root of 10354980 is about 217.9631562458.

The spelling of 10354980 in words is "ten million, three hundred fifty-four thousand, nine hundred eighty".